16886264304100 has 27 divisors (see below), whose sum is σ = 36643282711707. Its totient is φ = 6754489284480.

The previous prime is 16886264304097. The next prime is 16886264304103. The reversal of 16886264304100 is 140346268861.

The square root of 16886264304100 is 4109290.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (16886264304097) and next prime (16886264304103).

It can be written as a sum of positive squares in 4 ways, for example, as 925855781796 + 15960408522304 = 962214^2 + 3995048^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16886264304103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 40887436 + ... + 41298364.

Almost surely, 2^{16886264304100} is an apocalyptic number.

16886264304100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16886264304100 is the 4109290-th square number.

It is an amenable number.

16886264304100 is an abundant number, since it is smaller than the sum of its proper divisors (19757018407607).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16886264304100 is an frugal number, since it uses more digits than its factorization.

16886264304100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821872 (or 410936 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

Multiplying 16886264304100 by its sum of digits (49), we get a square (827426950900900 = 28765030²).

The spelling of 16886264304100 in words is "sixteen trillion, eight hundred eighty-six billion, two hundred sixty-four million, three hundred four thousand, one hundred".